why is 0.71875 a rational number

Answers

Answer 1

Answer:

Because it is terminating.

Step-by-step explanation:

0.71875 is rational because it is terminating (has a clear end). If it were a bunch of random numbers that never ended, then it would be irrational.

Answer 2

0.71875 is a rational number because it is a terminating and non-repeating decimal.

What are rational numbers and irrational numbers?

Rational numbers are numbers that can be written as the ratio of two integers. For example: 1/2, 3/4, are rational numbers

Irrational numbers, any real number that cannot be expressed as the quotient of two integers—that is, p/q, where p and q are both integers. For example, there is no number among integers and fractions that equals Square root of√2.

Now,the given number is 0.71875

Here we see that digits after decimal 71875 stops,

hence the given number can be convert into fraction of the form a/b

So,

0.71875 = 71875/100000

So 0.71875 can be expressed in the form of a/b

Therefore 0.71875 is rational because it is a terminating and non-repeating decimal.

To learn more about rational numbers and irrational numbers:

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Related Questions

name the property that the following statement illustrates 84+8=8+84

Answers

Answer:

the commutative property of addition :)

PLEASEE HELP ASAP........

Answers

Answer:

(C). 126

Step-by-step explanation:

[tex]\frac{45}{x}[/tex] = [tex]\frac{65}{182}[/tex]

x = 126

Answer:

Hello,

Answer C\\

Step-by-step explanation:

Triangle EUT is similar to triangle EGF

[tex]\dfrac{EU}{EG} =\dfrac{ET}{EF} \\\\\dfrac{140-90}{140} =\dfrac{45}{EF} \\\\\\EF=\dfrac{45*140}{50} \\\\\\RF=126\\\\Answer\ C\\[/tex]

What is the quotation of 6 and -1/2?

1. -12

2. -1/12

3. 1/12

4. 12

Answers

Answer: Option 2: -1/12

Explanation

= -1/2÷6

= -1/2×1/6

= -1/12

Must click thanks and mark brainliest

I will mark you as BRAINLIEST Please help me out here!! ​

Answers

Step-by-step explanation:

C1:

The pattern for this: you add 1/2 every time.

C2:

3, 3 1/2, 4, 4 1/2

C3:

5 1/2

C4:

The 14th

C5:

10

D1:

You add twice as more than you did before, starting at 3.

D2:

48, 96, 192, 384

D3:

192

D4:

The 9th

D5:

384

Hope this all helps.

Answer:

C)

1) As the sequence progresses, each term in the sequence increases by 1/2.    2) 3 ; 3 1/2 ; 4 ; 4 1/2

3) The 10th term in the sequence is 5 1/2.

4) 7 1/2 is the 14th term in the sequence.

5) The 17th term is 9.

D)

1) As the sequence progresses, each term multiplies by 2.

2) 48 ; 98 ; 192 ; 384

3) The 7th term in the sequence is 192.

4) 768 is the 9th term in the sequence.

5) The 8th term in the sequence is 384.

Step-by-step explanation:

FOR C : 1 + 1/2 = 1 1/2, 1 1/2 + 1/2 = 2, 2 + 1/2 = 2 1/2, and so on. This pattern tells me the rule of the sequence. Continue this sequence to answer 1, 2, 3, 4, and 5.

FOR D: 3 x 2 = 6, 6 x 2 = 12, 12 x 2 = 24, and so on.  This pattern tells me the rule of the sequence. Continue this sequence to answer 1, 2, 3, 4, and 5.

The difference of a number and 11

Answers

Answer:

x - 11

Step-by-step explanation:

"A number" is the same thing as a variable.

Answer:

x-11

Step-by-step explanation:

Is 6272 a perfect square? If not find the smallest number by which it must be divided so that the product becomes a perfect square.

Answers

Answer:

(2^7)*(7^2)

Step-by-step explanation:

2*2*2*2*2*2*2*7*7=6272where2 is the smallest number by which it becomes a perfect square

Samuel takes 5 hours to make a table and a chair. He takes 9 hours to make 3 chairs
and a table. How much time does he take to make a table?

Answers

Answer:

3 hours

Step-by-step explanation:

t = time to make a table

c = time to make a chair

t + c = 5

t+3c = 9

Subtract the second equation from the first

t+3c = 9

-(t + c = 5)

-----------------------

       2c = 4

Divide by 2

2c/2 = 4/2

c =2

2 hours for the chair

t+c = 5

t+2 = 5

t = 5-2

t = 3hours

Answer:

It takes 3 hours to make a table.

Step-by-step explanation:

Table and chair : 5 hours

Table and 3 chairs : 9 hours

(Table and 3 chairs) - (Table and chair) = (2 chairs)

9 hours - 5 hours = 4 hours

2 chairs : 4 hours / 1 chair : 2 hours

Table and chair : 5 hours

Chair : 2 hours

Table: x hours

5 - 2 = 3

Table : 3 hours

Which graph represents the function? f(x)=5√x

Answers

Step-by-step explanation:

Since the x is inside of the square root, the x value must be positive. This makes x {0,infinity). Yet, when square rooting x, you should have both a negative and a positive value for y. So, this should be your graph.

Which of the following is an irrational number
o 18
o 2.6
o π
o -16/3

Answers

Answer:

pi

Step-by-step explanation:

A rational number can be written as a fraction

18/1 is a fraction

2.6666666 can be written as 2 2/3 = 8/3

-16/3 is a fraction

pi is a non repeating non termination decimal which is irrational

Answer:

The answer is π

Step-by-step explanation:

An irrational number is a type of real number which cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio.

PLS HELP ME
Given that the universal set.
U = {X : 30 ≤ X ≤ 40. X is an even number}.
P = {X : X is a multiple of 4}
and Q = {X : X is a number such that the sum of its digits is an odd number}.
find n(P∩Q')

A. 1
B. 2
C. 3
D. None of the above​

Answers

Given that

U = {X : 30 ≤ X ≤ 40. X is an even number}.

so Mathematically

U = {30,32,34,36,38 40}.

P = {X : X is a multiple of 4}

P = { 4,8,12,16,20,24,28,32,36,40,44,........}

and Q = {X : X is a number such that the sum of its digits is an odd number}.

Q = {12,14,16,18,21,23,25,27,29,30,32,34,36,38,41,43,45,..........}.

(Q')= U-Q  ={40}

(P∩Q')= {40}

n(P∩Q')= 1

(Q') is Q complement which means a set containing those elements of the universal set which are not element of the set Q.

(P∩Q') is a set containing those elements of set P and Q complement which are common to both sets.

n(P∩Q') denotes the number of elements in a set containing those elements of set P and Q complement which are common to both sets which  has only 1 element which is 40.

So the best answer is part A = 1.

https://brainly.com/question/11439790

https://brainly.com/question/13729460

A. Determine if a given set ie a well-defined or not.


1. the set of all poor people in batangas.
2. the set of books well-liked by my classmate.
3. the set of handsome teachers in your school.
4. the set of whole numbers greater than 8 but less than 20.
5. the set of intelligent students.​

Answers

Answer:

Step-by-step explanation:

1. yes

2. No

3. No

4. Yes

5. I have no idea about this one, but I think its not a well defined set

^ for 5 its well defined. according to g00gle

Jillian bought 3 pounds of apples for $3.09 per pound. she then bought 6 pounds of peanuts for $0.87 per pound. How much did Jillian spend all together?

Answers

Answer:

Jillian spent $14.49 altogether.

Step-by-step explanation:

Let a = pounds of apples, p = pounds of peanuts, and t = total cost

t = 3.09a + 0.87p

t = 3.09(3) + 0.87(6)

t = 9.27 + 5.22

t = 14.49

What type of number is
[tex] \sqrt{7} [/tex]
O A rational number O A whole number O An irrational number O A decimal that ends​

Answers

Answer:

C

Step-by-step explanation:

It's not rational. It can't be represented as a fraction.

It can't be a decimal the ends. If I told you want the hundredth digit was, you could not establish the 101st digit.

If you try to find the square of 7 using the calculator that comes with winds, you get an answer that goes out to 2 followed by the decimal followed by 31 digits. You cannot find a pattern nor can you find an ending.

sqrt(7) is irrational.

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The data value that occurs most often in the data set is the ____________.
A. mean
B. median
C. mode
D. range

Answers

The answer is C. Mode
ANSWER: Mode (C)

EXPLANATION:
In order to understand which one of these mean the data value the occurs the most, you need to know the definition for these basic math terms.

Mean= Average of All Numbers Given
Median= Middle Number (From Least to Greatest)
Mode= Number That Occurs the Most
Range= The Subtraction of the Smallest Number to the Biggest Number

9.
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 + 2x = 15

A. 3, –5
B. 3.74, 4
C. 4, –4
D. 15, –17

Answers

Answer:

x = 3 , x = -5

Step-by-step explanation:

Given x^2 +2x=15 add 1 to both sides to get:

x^2 + 2x + 1 =16

(x+1)^2 = 16

x + 1 = ± [tex]\sqrt{16}[/tex] = ± 4

x = -1 ± 4

x = 3 or x = -5

A typical television newscast has three cameras. The center camera directly faces the news anchor’s desk. The other two cameras are both angled 45 degrees away from the center camera. Suppose each camera has a filed if 60 degrees. What is the total angle covered by three cameras? Explain your reasoning.

Answers

5428 7091 6278 63 and none that are changed in a way for us good to have the right ✅✅is 3 and is made of solid rocks mostly basalt and none of the duties should be separated on any basis of the following ratio of a 666you and a volcano of a bone of a bone of a bone of a bone of a bone of a bone of a bone of a bone of a bone of a bone of a bone where

42 deliveries in 3 hours = deliveries per hour

Answers

Answer:

14 deliveries per hour

Step-by-step explanation:

42/3

14

The person makes 14 deliveries per hour

Answer:

14

Step-by-step explanation:

42 / 3 = 14

e Reasons Y...
SIVARI Leaming su...
Solve for 2. Round to the nearest tenth, if necessary.
х
K
J
63°
I
PLS HELP

Answers

Answer:

x = .5

Step-by-step explanation:

Since we have a right triangle, we can use trig functions

tan theta = opp / adj

tan 63 = 1/x

x tan 63 = 1

x = 1/ tan 63

x=0.50952

Rounding to the nearest tenth

x = .5

You flip a coin and roll a six-sided die. What is the
probability of flipping heads and rolling a number greater
than or equal to 5?

Answers

Answer:

The probability of flipping heads is 1/2

The probability of rolling 5 or more is 1/3.

So the total probability is 1/2 x 1/3 , which is 1/6.

Let me know if this helps!

Answer:

1/6

Step-by-step explanation:

The probability of flipping heads is 1/2

The probability of rolling 5 or more is 1/3.

So the total probability is 1/2 x 1/3 , which is 1/6.

helpppp: write the rule that describes the composition of transformations

Answers

omg i need help on tht too

A baker used 12 cups of batter to make muffins. It took 2/3 of a cup of batter to make one muffin. How many did the baker make?

Answers

Answer:

8 cups

Step-by-step explanation:

1 cup = 2/3

so,2/3 x 12 = 8 cups

Answer:

8 cups

Step-by-step explanation:

y-5=m(x-6) solve for m

Answers

5 + -6m + mX,

If you like, I can explain a bit more!

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\boxed{m= \frac{y-5}{x-6}}; \text{ } x\neq 6[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'm'...}}\\\\y-5=m(x-6)\\------------\\\rightarrow m(x-6) = y-5\\\\\rightarrow \frac{m(x-6)=y-5}{(x-6)}; x\neq 6\\\\\rightarrow \boxed{m= \frac{y-5}{x-6}}; \text{ } x\neq 6[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

PLEASE HELP ASAP ON THESE TWO QUESTIONS BLESS YOUR HEART IF YOU HELP ME 9) Look for two points and find the sloope.
10) Plot the given points and find the slope.

Answers

Answer:

the two points are (-3,-3

Step-by-step explanation:

You must first check if the line is a straight line two the you check the intersection of the two points and the write it

You would like to know how effective a diet program is at helping people lose weight. 18 over-weight people are randomly selected to participate in the program. They are weighed before and after the program and the results are listed below. Do these results give evidence that the diet program is effective at the 1% significance level?

Answers

Answer:

There is not enough evidence to support the claim that drug is effective at 1%

Step-by-step explanation:

For this we use the pored test as we have dependent test;

Difference :

10,5,-5,3,-3,4,2,-3,0,10,8,-2,3,-2,5,5,4,0

Hypothesis :

H0 : μd = 0

H0 : μd ≠ 0

The mean of d, dbar = Σd / n = 44 / 18 = 2.44

The standard deviation, Sd = 4.45 (using calculator)

The test statistic, T : dbar / (Sd/√n)

T = 2.44 / (4.45/√18)

T = 2.44 / 1.0488750

T = 2.326

Degree of freedom, df = n - 1 ; 18 - 1 = 17

The Pvalue = 0.0326

α = 0.01

Since Pvalue < α ; we fail to reject H0

0.4 x 10 =....
1.25 x 10 =
97.465 x10 =​

Answers

Answer:

0.4 × 10 = 4

1.25 × 10 = 12.5

97.465 × 10 = 974.65

find LCM of 60,40 and 90​

Answers

Answer:

Step-by-step explanation:

Prime factorize.

60 = 2 *2 * 3 * 5     = 2² * 3 * 5

40 = 2 * 2 * 2 *5     = 2³ *       5

90 = 2 * 3 * 3 * 5    = 2 * 3² * 5

LCM = 2³ * 3² * 5 = 8 * 9 * 5 = 360

Х
49°
x=
degrees
PLEAIEJEHEHEHDJDJDJDI

Answers

Answer:

Step-by-step explanation:

Exterior equals the sum of opposite interior angles

x = 49 + 90

x = 139°

Which expression is equivalent to….

Answers

Answer:

the answer is {2^5}

hope it helps :)

(2^1/2×2^3/4)^2

(2^(2/4+3/4))^2

(2^5/4)^2

2^(5/4×2)

2^(5/2)

√2^5

Answered by Gauthmath must click thanks and mark brainliest

If 1 angle is four time of another angle in linear pair find the angles. Please do it fast as you can

Answers

Answer:

let the angle be x then other angle is 4x

so,

x + 4x = 180

5x = 180

x = 36

so other angle I.e 4x = 4 × 36 = 144

Let one angle be x

Other angle=4x

Both are linear pair hence their sum will be 180

[tex]\\ \sf \longmapsto x+4x=180[/tex]

[tex]\\ \sf \longmapsto 5x=180[/tex]

[tex]\\ \sf \longmapsto x=\dfrac{180}{5}[/tex]

[tex]\\ \sf \longmapsto x=30[/tex]

[tex]\\ \sf \longmapsto 5x=5(30)=150[/tex]

Given the function g(x) = x2 + 10x + 18, determine the average rate of change of
the function over the interval -11 < x < -1.

Answers

Answer:

-2.

Step-by-step explanation:

Average rate of change of the function = [ f(-1) - f(-11)] / [(-1 - (-11)]

= [(-1)^2 + 10*-1 + 18 - ((-11)^2 + 10*-11 + 18)] / 10

= (1 - 10 + 18 - (121 - 110 + 18) / 10

= (9 - (29) /10

= -20/10

= -2.

Answer:

Step-by-step explanation:

The answer is +2 or 2.

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